11151120 has 80 divisors (see below), whose sum is σ = 34997760. Its totient is φ = 2936832.

The previous prime is 11151073. The next prime is 11151131. The reversal of 11151120 is 2115111.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11151096 and 11151105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23041 + ... + 23519.

It is an arithmetic number, because the mean of its divisors is an integer number (437472).

Almost surely, 2^11151120 is an apocalyptic number.

11151120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11151120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17498880).

11151120 is an abundant number, since it is smaller than the sum of its proper divisors (23846640).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11151120 is a wasteful number, since it uses less digits than its factorization.

11151120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 586 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

The square root of 11151120 is about 3339.3292739710. The cubic root of 11151120 is about 223.4118285501.

Adding to 11151120 its reverse (2115111), we get a palindrome (13266231).

The spelling of 11151120 in words is "eleven million, one hundred fifty-one thousand, one hundred twenty".